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A295188 Decimal expansion of phi^3 * exp(1 - 1/phi), where phi is the golden ratio. 3
6, 2, 0, 6, 5, 2, 7, 0, 3, 8, 3, 9, 7, 1, 6, 3, 7, 3, 1, 0, 0, 0, 7, 4, 0, 5, 3, 2, 1, 8, 6, 5, 8, 0, 5, 8, 5, 2, 7, 8, 0, 5, 2, 8, 7, 0, 8, 4, 7, 9, 6, 2, 0, 2, 2, 9, 2, 6, 0, 7, 5, 3, 9, 6, 8, 7, 9, 0, 5, 8, 4, 9, 3, 7, 5, 6, 1, 4, 1, 8, 4, 4, 4, 3, 5, 6, 3, 1, 1, 2, 2, 6, 1, 0, 2, 3, 0, 5, 0, 6, 3, 7, 0, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals ((1+sqrt(5))/2)^3 * exp(1 - 2/(1+sqrt(5))).

Equals limit n->infinity (A066399(n)/n!)^(1/n).

Equals limit n->infinity (A239761(n)/n!)^(1/n).

Equals limit n->infinity (A295183(n)/n!)^(1/n).

EXAMPLE

6.206527038397163731000740532186580585278052870847962022926...

MAPLE

evalf(((1+sqrt(5))/2)^3 * exp(1 - 2/(1+sqrt(5))), 120);

MATHEMATICA

RealDigits[GoldenRatio^3 * Exp[1 - 1/GoldenRatio], 10, 110][[1]]

CROSSREFS

Cf. A001622, A066399, A239761, A295183.

Sequence in context: A154480 A087199 A153735 * A248680 A021621 A197844

Adjacent sequences:  A295185 A295186 A295187 * A295189 A295190 A295191

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Nov 16 2017

STATUS

approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)